Your sequence is PERIODIC. The major period is these 4 terms {2 0 1 8}. Divide 2018 by 4 to find the number of periods before 2018-th term= 504.5. It means that there are 504 periods of 4 numbers before 2018-th term. Exclude (mentally) these 504 periods. 504*4 = 2016. Hence, the next two terms are 2 and 0 at 2017-th and 2018-th positions, respectively. So, 0 is at the 2018-th position. ANSWER